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Finding the Third Proportional to 107,064 and 230,572

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Solution

The third proportional to 107,064 and 230,572 is: 496,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,064 : 230,572 = 230,572 : x
  2. Step 2: Convert to fraction form
    107,064/230,572 = 230,572/x
  3. Step 3: Cross multiply
    107,064x = 230,572 × 230,572
  4. Step 4: Simplify right side
    107,064x = 53,163,447,184
  5. Step 5: Solve for x
    x = 53,163,447,184/107,064
  6. Step 6: Final answer
    x = 496,557.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.